Several recent advances in turbulent dynamo theory are reviewed. High resolution
simulations of small-scale and large-scale dynamo action in periodic domains are compared …

Recent progress in astrophysical hydromagnetic turbulence is being reviewed. The physical
ideas behind the now widely accepted Goldreich–Sridhar model and its extension to …

The amplification of primordial magnetic fields via a small-scale turbulent dynamo during
structure formation might be able to explain the observed magnetic fields in galaxy clusters …

We formulate a coarse-graining approach to the dynamics of magnetohydrodynamic (MHD)
fluids at a continuum of length-scales ℓ. In this methodology, effective equations are derived …

We live in an age in which high-performance computing is transforming the way we do
science. Previously intractable problems are now becoming accessible by means of …

We analyze the data stemming from a forced incompressible hydrodynamic simulation on a
grid of 2048 3 regularly spaced points, with a Taylor Reynolds number of R λ∼ 1300. The …

Hydromagnetic turbulence produced during phase transitions in the early universe can be a
powerful source of stochastic gravitational waves (GWs). GWs can be modelled by the …

The role of turbulence in various astrophysical settings is reviewed. Among the differences
to laboratory and atmospheric turbulence we highlight the ubiquitous presence of magnetic …

In this review, the methodology of large eddy simulations (LES) is introduced and
applications in astrophysics are discussed. As theoretical framework, the scale …

Using direct simulations of hydromagnetic turbulence driven by random polarized waves it is
shown that dynamo action is possible over a wide range of magnetic Prandtl numbers from …